The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the equation to find the value of x.

The equation is
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i. + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

Area of rectangle = length x width

length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = + 26x + 144

+ 26x + 144 - 299 = 0

+ 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± ) ÷ 2a

= (-26 ± ) ÷ 2

= (-26 ± ) ÷ 2

= (-26 ± ) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

  = 5 OR -31

Thus, x = 5

95.03 is the answer. hope this !